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3401023000 = 23534198117
BaseRepresentation
bin1100101010110111…
…0111111000011000
322210000121212110211
43022231313320120
523431130214000
61321251420504
7150165134644
oct31255677030
98700555424
103401023000
111495874a11
127aabb4734
134227c365b
14243995c24
1514d8aa7ba
hexcab77e18

3401023000 has 64 divisors (see below), whose sum is σ = 7978370400. Its totient is φ = 1356995200.

The previous prime is 3401022997. The next prime is 3401023001. The reversal of 3401023000 is 3201043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401023001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414942 + ... + 423058.

Almost surely, 23401023000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989185200).

3401023000 is an abundant number, since it is smaller than the sum of its proper divisors (4577347400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401023000 is a wasteful number, since it uses less digits than its factorization.

3401023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3401023000 is about 58318.2904413358. The cubic root of 3401023000 is about 1503.8453928047.

Adding to 3401023000 its reverse (3201043), we get a palindrome (3404224043).

The spelling of 3401023000 in words is "three billion, four hundred one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 1000 1676 2095 3352 4190 8117 8380 10475 16234 16760 20950 32468 40585 41900 52375 64936 81170 83800 104750 162340 202925 209500 324680 405850 419000 811700 1014625 1623400 2029250 3401023 4058500 6802046 8117000 13604092 17005115 27208184 34010230 68020460 85025575 136040920 170051150 340102300 425127875 680204600 850255750 1700511500 3401023000